Pith Number

pith:GQSOGFWL

pith:2026:GQSOGFWL4Z5CYCLS6JMQCUFTSX

not attested not anchored not stored refs pending

On the Etzion-Silberstein conjecture for block Ferrers diagrams

Alessandro Neri, Marco Calderini, Marta Messia

arxiv:2607.08239 v1 · 2026-07-09 · math.CO · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GQSOGFWL4Z5CYCLS6JMQCUFTSX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-10T01:19:30.474407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3424e316cbe67a2c0972f2590150b395cf2ab6b8324e7964d118d55c8a6d71f9

Aliases

arxiv: 2607.08239 · arxiv_version: 2607.08239v1 · doi: 10.48550/arxiv.2607.08239 · pith_short_12: GQSOGFWL4Z5C · pith_short_16: GQSOGFWL4Z5CYCLS · pith_short_8: GQSOGFWL

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GQSOGFWL4Z5CYCLS6JMQCUFTSX \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3424e316cbe67a2c0972f2590150b395cf2ab6b8324e7964d118d55c8a6d71f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df64f5d8ed704972886374603c09f8e39bd13b35b37b3555d232691f7b33f7a3",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-09T08:39:26Z",
    "title_canon_sha256": "a960199fc0a7d4082a983b61b3d7d07bedcdff9943dec501eca16784f707bea1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08239",
    "kind": "arxiv",
    "version": 1
  }
}